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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 134, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.134 (Mi sigma1433) 		 
A Product on Double Cosets of $B_\infty$

Pablo Gonzalez Pagotto

Institut Fourier, Université Grenoble Alpes, Grenoble, France
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DOI: https://doi.org/10.3842/SIGMA.2018.134
Abstract: For some infinite-dimensional groups $G$ and suitable subgroups $K$ there exists a monoid structure on the set $K\backslash G/K$ of double cosets of $G$ with respect to $K$. In this paper we show that the group $B_\infty$, of the braids with finitely many crossings on infinitely many strands, admits such a structure.
Keywords: Braid group; double cosets; Burau representation.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2015/03341-9
This research was supported by FAPESP process 2015/03341-9.
Received: May 28, 2018; in final form December 14, 2018; Published online December 27, 2018
Bibliographic databases:
Document Type: Article
MSC: 20F36; 20M99; 20C99
Language: English
Citation: Pablo Gonzalez Pagotto, “A Product on Double Cosets of $B_\infty$”, SIGMA, 14 (2018), 134, 18 pp.
Citation in format AMSBIB
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